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Finding the Fourth Proportional to 459.46, 634.02 and 284.80

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Solution

The fourth proportional to 459.46, 634.02 and 284.80 is: 393.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.46 : 634.02 = 284.80 : x
  2. Step 2: Convert to fraction form
    459.46/634.02 = 284.80/x
  3. Step 3: Cross multiply
    459.46x = 634.02 × 284.80
  4. Step 4: Simplify right side
    459.46x = 180,568.90
  5. Step 5: Solve for x
    x = 180,568.90/459.46
  6. Step 6: Final answer
    x = 393.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.